Schools in Jurong East | Decimal Place Value, Tenths, Hundredths and Comparing Numbers

Yuhua Primary School’s Mathematics page describes conceptual understanding, hands-on activities, collaboration and reflection. These provide a local context for explaining a number through more than one representation.

The activity below is independently written by eduKateSG. It is not a Yuhua worksheet or a claim about a specific class lesson. Use paper or a verbal description, choosing the step that fits the learner.

Fix the whole before comparing parts. If two diagrams represent different-sized wholes, their shaded physical areas can mislead. In this activity, every comparison refers to the same unit whole.

Imagine a rectangle divided into ten equal strips. Five shaded strips represent five tenths of the whole: 5/10 = 0.5. The first place after the decimal point records tenths.

Now divide that same whole into one hundred equal small parts. The same half covers fifty parts: 50/100 = 0.50. The second place after the decimal point records hundredths.

Only five of those hundred parts would represent 5/100 = 0.05. That is a smaller quantity than fifty hundredths, even though both decimal expressions contain the digit five.

Ask the child to read each number by place value. Five tenths and five hundredths make the difference audible. Saying only zero point five or zero point zero five is correct, but may not explain the quantity.

To compare 0.5 and 0.05, write the first as 0.50. Both now show hundredths explicitly. Fifty hundredths is greater than five hundredths, so 0.50 > 0.05.

The added zero at the end does not change the value: 0.5 = 0.50. This is different from placing a zero between the decimal point and the five, which changes its position and value.

Try 0.7 and 0.65. Seven tenths equals seventy hundredths, so 0.70 is greater than 0.65. Counting digits as if these were whole numbers would lead to the wrong comparison.

Start with the whole-number parts when comparing larger decimals. In 2.08 and 1.9, two whole units already exceed one whole unit. There is no need to let the longer decimal part distract from that first comparison.

Ask the learner to order 0.4, 0.04 and 0.40 from smallest to largest. A correct response places 0.04 first and recognises that 0.4 and 0.40 are equal.

Invite an explanation using hundredths: four hundredths is less than forty hundredths, and four tenths equals forty hundredths. The statement connects notation with the represented quantity.

If the child thinks 0.40 must exceed 0.4, return to the same whole and shade the same amount in two ways. The issue may be interpreting the notation rather than carrying out arithmetic.

Finish with one new pair and a reasoned comparison. A useful next step is not speed alone; it is recognising the value of each place and preserving that value when rewriting a decimal.